A very long rod of 5-mm diameter and uniform thermal conductivity k = 25 W/m · K is subjected to a heat treat- ment process. The center, 30-mm-long portion of the rod within the induction heating coil experiences uniform volumetric heat generation of 7.5 X 106 W/m3.
(a) Derive an equation from which the temperature distribution in a wire lead may be determined. List all pertinent assumptions.
(b) Determine the temperature distribution in a wire lead, expressing your results in terms of the pre- scribed variables.